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Finding the Fourth Proportional to 2,610.10, 3,602.00 and 1,431.18

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Solution

The fourth proportional to 2,610.10, 3,602.00 and 1,431.18 is: 1,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.10 : 3,602.00 = 1,431.18 : x
  2. Step 2: Convert to fraction form
    2,610.10/3,602.00 = 1,431.18/x
  3. Step 3: Cross multiply
    2,610.10x = 3,602.00 × 1,431.18
  4. Step 4: Simplify right side
    2,610.10x = 5,155,113.94
  5. Step 5: Solve for x
    x = 5,155,113.94/2,610.10
  6. Step 6: Final answer
    x = 1,975.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.